Efficient date comparison (DATE portion of DATETIME value within one month)

Question

I need to check if the date portion of dd.eventduedate (a DATETIME value returned by a function) is upcoming within one month. The WHERE clause below works, but I'm concerned that it's inefficient due to the four CONVERT operations. Is there a better (faster) way?

CONVERT(DATE, dd.eventduedate) >= CONVERT(DATE, getdate()) AND CONVERT(DATE, dd.eventduedate) <= CONVERT(DATE, DATEADD(MONTH, 1, GETDATE()))